25770080 has 144 divisors (see below), whose sum is σ = 74980080. Its totient is φ = 8322048.

The previous prime is 25770077. The next prime is 25770109. The reversal of 25770080 is 8007752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148874 + ... + 149046.

It is an arithmetic number, because the mean of its divisors is an integer number (520695).

Almost surely, 2^25770080 is an apocalyptic number.

25770080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25770080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37490040).

25770080 is an abundant number, since it is smaller than the sum of its proper divisors (49210000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25770080 is a wasteful number, since it uses less digits than its factorization.

25770080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 25770080 is about 5076.4239381675. The cubic root of 25770080 is about 295.3737673522.

The spelling of 25770080 in words is "twenty-five million, seven hundred seventy thousand, eighty".